NDLI: Legendre polynomials in signal reconstruction and compression

Content Provider	IEEE Xplore Digital Library
Author	Guoqi Li Changyun Wen
Copyright Year	2010
Description	Author affiliation: School of EEE, Nanyang Technological University, Singapore (Guoqi Li; Changyun Wen)
Abstract	In this paper, we present a method for signal reconstruction using orthogonal transform based on discrete Legendre polynomials. Using such a transform provides computational advantages over polynomial basis. We extend the discrete Legendre polynomials to two-dimensional discrete Legendre polynomials for reconstructing and compressing an image. In the applications, we notice that when the order of a polynomial becomes large, the proposed method tends to exhibit numerical instabilities. We bring forward a possible way to avoid such instabilities. Simulation results illustrate that the error resulted from compression is usually low with a satisfactory compression ratio by using the proposed method. An application in system identification is also presented.
Starting Page	1636
Ending Page	1640
File Size	319395
Page Count	5
File Format	PDF
ISBN	9781424450459
e-ISBN	9781424450466
DOI	10.1109/ICIEA.2010.5514776
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-15
Publisher Place	Taiwan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Polynomials Signal reconstruction Image coding Image reconstruction Discrete transforms Parameter estimation Discrete cosine transforms System identification Discrete wavelet transforms Error analysis Discrete Legendre Polynomials Image Reconstruction Signal Compression
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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